Stochastic stability for partially hyperbolic diffeomorphisms with mostly expanding and contracting centers

Published 13 Jul 2020 in math.DS | (2007.06243v1)

Abstract: We prove the stochastic stability of an open class of partially hyperbolic diffeomorphisms, each of which admits two centers $E^c_1$ and $E^c_2$ such that any Gibbs $u$-state admits only positive (resp. negative) Lyapunov exponents along $E^c_1$ (resp. $E^c_2$).

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Zeya Mi

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